GCD of 140, 456, 764, 704 Calculator

Given Input numbers are 140, 456, 764, 704

In the factoring method, we have to find the divisors of all numbers

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (140, 456, 764, 704) = 4.

Given numbers are 140, 456, 764, 704

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 764 are 2 x 2 x 191

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2²

Therefore, GCD of 140, 456, 764, 704 is 4.

Given numbers are 140, 456, 764, 704

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(140, 456) = 15960

GCD(140, 456) = ( 140 x 456 ) / 15960

= 140 / 456

= 140

Step2:

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

= 4 / 764

= 4

Step3:

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

= 4 / 704

= 4

So, Greatest Common Divisor of 140, 456, 764, 704 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 927, 558, 727
• GCD of 929, 568, 134, 173
• GCD of 112, 101, 294, 910
• GCD of 199, 576, 793, 143
• GCD of 229, 977, 922, 913

Given numbers are 140, 456, 764, 704
The greatest common divisor of numbers 140, 456, 764, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 456, 764, 704 is 4.

1. What is the GCD of 140, 456, 764, 704?

GCD of given numbers 140, 456, 764, 704 is 4

2. How to calculate the greatest common divisor of 140, 456, 764, 704?

We can find the highest common divisor of 140, 456, 764, 704 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 140, 456, 764, 704 i.e 4.

3. How can I use the GCD of 140, 456, 764, 704Calculator?

Out the numbers 140, 456, 764, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.